This type of channel can open and close based on membrane potential. at rest, the channel is closed and it opens at threshold.
based on the information above, the channel is probably a(n):
a. voltage gated channel
b. sodium channel
c. answer not lister
d. mechanically gated channel
e. leakage channel (i. e. "leaky channel")
f. ligand gated channel

( a ) Voltage gated channels - channel can open and close based on membrane potential. At rest, the channel is closed and it opens at threshold.

Explanation:

Voltage Gated Channels -

It is a channel with a cluster of proteins present in the membrane .

The function of voltage - gated channel is to open for the some values of membrane potential and close for others . In maximum cases , the relation between channel state and membrane potential is probabilistic and requires a time lag . The ion channel can even flip the conformations at an unpredictable times , the membrane potential even determines the rate of transition and the probability per unit time of each and every transition .